Free Printable Unit 2 Linear Functions and Systems

1.

What is the domain of the relation: {(0, 2), (-1, 4), (2, 10), (-4,5)}

a)

{-4, -1, 0, 2}

b)

{2, 4, 5, 10}

c)

{-4, -1, 0, 2, 4, 5, 10}

d)

No Solution

2.

Is the relation below a function?

{(0, 2), (-1, 4), (2, 10), (-4,5)}

a)

Yes

b)

No

3.

Which of the following is PARALLEL to $y\ =\ \frac{1}{4}x-7$ ?

a)

$y=-4x+1$

b)

$y=-\frac{1}{4}x+1$

c)

$y=\frac{1}{4}x+1$

d)

$y=4x+1$

4.

Which of the following describes what it means graphically when a system of equations has NO SOLUTION.

a)

The two lines intersect at one point.

b)

The two lines are the same line.

c)

The two lines are parallel lines.

5.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

6.

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

7.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

8.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

9.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

10.

Which of these represents slope-intercept form?

a)

y - y₁ = m(x-x₁)

b)

Ax + By = C

c)

y = mx + b

11.

What is the equation of the line?

a)

y=3x

b)

y=3

c)

x=3

d)

y=-3

12.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

13.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

14.

What is the solution?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

15.

A system of equations with one solution will have lines that...

a)

are the same

b)

cross in one place

c)

are parallel and never touch

16.

What is the solution to this system of equations? Solve by substitution or graphing.

a)

(7, -8)

b)

(-7, 8)

c)

(-7, -8)

d)

(7, 8)

17.

Two equations that produce the same line have _____ solution(s).

a)

no

b)

one

c)

infinitely many

18.

Solve the system of Equation (x,y)
x + 3y = 18
–x –4y = –25

a)

(3,7)

b)

(-3,7)

c)

(7,-3)

d)

(-3,-7)

19.

Solve the system by elimination.

−7x + 6y = 29
10x + y = 16

a)

(1,6)

b)

(−1,−3)

c)

(−3, −1)

d)

(−1, 3)

20.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (1, -2)

d)

One Solution: (-2, 1)

21.

a)

Infinitely Many Solutions

b)

No Solution

22.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

23.

Solve the system of equations:

a)

( 4, 0, -2)

b)

( -4, -2, 0)

c)

None of these

d)

( -4, 0, -2)

24.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

25.

a)

Function

b)

Not a Function

26.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

27.

a)

84

b)

92

c)

116

d)

64

28.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

29.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

30.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

31.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

32.

How many types of slopes are there?

a)

3

b)

4

c)

5

d)

1

33.

Which equation represents a line which passes through the points (8, 5) and (1, 3)?

a)

$y+1=\frac{2}{7}\left(x+3\right)$

b)

$y-5=\frac{2}{7}\left(x-8\right)$

c)

$y-1=\frac{2}{7}\left(x+3\right)$

d)

$y+5=\frac{2}{7}\left(x-8\right)$

34.

How do you determine slope?

a)

x/y

b)

run/rise

c)

left/right

d)

rise/run

35.

What kind of slope is this?

a)

Postive

b)

Undefined

c)

Negative

d)

Zero

36.

What for is this?

y=mx+b

a)

Slope-intercept form

b)

point-slope form

c)

standard form

37.

What is standard form?

a)

Ax+By+C=0

b)

Ax-By=0

c)

Ax+By=C

d)

Ay+Bx=C

38.

In standard form A has to be...

a)

An integer

b)

Rational number

c)

Imaginary number

d)

Whole number

39.

Write an equation for a linear function with a slope of 3/8 that passes through the point (-4, 5)

a)

y=3/8-37

b)

y-5=3/8(x+4)

c)

x+4=3/8(y-5)

d)

y-5=3(x-4)

40.

What does m stand for?

a)

y-intercept

b)

x-value

c)

slope

d)

y value

41.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

42.

h(k) = 7x + 4
What is k, if h(k) = 39

a)

4

b)

8

c)

5

d)

-1

43.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

44.

A test has twenty questions worth 100 points. The test consists of True/False questions worth 3 points each and multiple choice questions worth 11 points each. How many multiple choice questions are on the test?

a)

20 Multiple Choice

b)

10 Multiple CHoice

c)

15 Multiple Choice

d)

5 multiple choice

45.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

46.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

47.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

48.

a)

Function

b)

Not a Function

49.

Is this a function?

a)

Yes

b)

No

c)

Let me ask my dog...

d)

Why are there letters in math?

50.

Is this a function?

a)

Yes

b)

No

c)

I'm Confused

d)

May I phone a friend?

Unit 2 Linear Functions and Systems

Total questions: 50

Worksheet time: 2hrs 56mins

Similar Resources on Wayground